Question

(5 3/10-3 4/5 * 13/48) * 5/84 + 2 1/12 * 4/12 * 4/15​

Answer 1

Ответ:

Надеюсь правильно)

Answer 2

To calculate the expression:

(5 3/10 - 3 4/5 * 13/48) * 5/84 + 2 1/12 * 4/12 * 4/15

Let's break it down step by step:

1. First, simplify the subtraction in the parentheses: 5 3/10 - (3 4/5 * 13/48)

To subtract mixed numbers, find a common denominator. The common denominator for 10 and 48 is 240.

Convert 5 3/10 to an improper fraction: 5 3/10 = 53/10

Now, find a common denominator for 10 and 48, which is 240:

53/10 - (3 4/5 * 13/48) 53/10 - (3 * 48/5 * 13/48)

Now, simplify the subtraction:

(53/10 - (1872/240)) * 5/84 + 2 1/12 * 4/12 * 4/15

2. Continue to simplify:

53/10 - (1872/240) = 53/10 - 7.8 = (53/10 - 78/10) = -25/10 = -5/2

So, the expression becomes:

(-5/2) * 5/84 + 2 1/12 * 4/12 * 4/15

3. Simplify the first term:

(-5/2) * 5/84 = -25/168

4. Next, simplify the second term:

2 1/12 * 4/12 * 4/15

Convert the mixed number to an improper fraction:

2 1/12 = 25/12

Now, multiply the fractions:

(25/12) * (4/12) * (4/15)

5. Continue to simplify:

(25/12) * (4/12) * (4/15) = (25 * 4 * 4) / (12 * 12 * 15) = (400 / 2160)

6. Add the two simplified terms:

-25/168 + 400/2160

7. Find a common denominator for the addition:

-25/168 = -375/2520 (by multiplying the numerator and denominator by 15)

Now, add:

-375/2520 + 400/2160

8. Find a common denominator for the addition:

The common denominator for 2520 and 2160 is 2520.

-375/2520 + 400/2160 = (-375 * 15)/(2520 * 15) + (400 * 14)/(2160 * 14) = -5625/37800 + 5600/30240

9. Now, add the fractions:

(-5625/37800) + (5600/30240)

To add these fractions, you need to find a common denominator, which is 37800:

(-5625/37800) + (5600/30240) = (-5625 * 840) / (37800 * 840) + (5600 * 1265) / (30240 * 1265) = -4725000/31752000 + 7104000/38169600

10. Finally, add the fractions:

(-4725000/31752000) + (7104000/38169600)

To add these fractions, find a common denominator, which is 38169600:

(-4725000/31752000) + (7104000/38169600) = (-4725000 * 1200) / (31752000 * 1200) + (7104000 * 1005) / (38169600 * 1005) = -5670000000/38102400000 + 7156200000/38102400000

11. Add the fractions:

(-5670000000/38102400000) + (7156200000/38102400000) = (7156200000 - 5670000000)/38102400000 = 1486200000/38102400000

Now, you can simplify this fraction:

1486200000/38102400000 = 1/25

So, the final result is 1/25.